Multiple Choice Questions on If 5 1 log5 cosx 5 2 then find the value of lsquo x rsquo that satisfies the given equation ........ for NDA Exam Preparation

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Multiple Choice Questions

If 5 1 log5 cosx 5 2 then find the value of lsquo x rsquo that satisfies the given equation ........

Mathematics (NDA) Trigonometry
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    If 5 1+log5 cosx =5/2 then find the value of ‘x’ that satisfies the given equation?

    2nπ±π/2

    Incorrect Answer

    2nπ±π/3

    Correct Answer

    nπ±π/3

    Incorrect Answer

    2nπ±π/5

    Incorrect Answer
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    Explanation:

    5 1+log5 cosx =5/2

    Taking log of both side

    (1+log5 cosx) log5 5 =log5 (5/2)

    1+log5 cosx  = log5 5 - log5 2

    log5 cosx  =-log5 2

    cosx  =1/2

    x=2nπ±π/3

    By: bhavesh kumar singh
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